Characteristic classes and transversality
TLDR
In this article, a geometric construction of the Stiefel-Whitney classes when ξ is a real vector bundle and of the Chern classes when ǫ is a complex vector bundle is given.About:
This article is published in Topology and its Applications.The article was published on 2007-04-01 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Complex vector bundle & Stiefel–Whitney class.read more
Citations
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Dissertation
On some constructions of contact manifolds
TL;DR: In this article, the authors studied the topology of the contactomorphism group of high-dimensional contact manifolds and gave examples of contactomorphisms whose powers are all smoothly isotopic but not contact-isotopic to the identity.
Journal ArticleDOI
Examples of nontrivial contact mapping classes for overtwisted contact manifolds in all dimensions
TL;DR: In this article, the authors construct contactomorphisms of closed overtwisted contact manifolds that are smoothly isotopic but not contact-isotopic to the identity of the identity.
Journal ArticleDOI
Examples of non-trivial contact mapping classes for overtwisted contact manifolds in all dimensions
TL;DR: In this paper, the authors construct contactomorphisms of closed overtwisted contact manifolds that are smoothly isotopic but not contact-isotopic to the identity of the identity.
A geometric construction of characteristic classes
TL;DR: In this paper, a geometrische Konstruktion of charakteristischen Klassen an, den Stiefel-Whitney Klassesen fur reelle Vektorbundel and den Chern Klassens fur komplexe Vekorbundels, is discussed.
References
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Book
Graduate Texts in Mathematics
Rajendra Bhatia,Glen Bredon,Wolfgang Walter,Joseph J. Rotman,M. Ram Murty,Jane Gilman,Peter Walters,Martin Golubitsky,Ioannis Karatzas,Henri Cohen,Raoul Bott,Gaisi Takeuti,Béla Bollobás,John M. Lee,Jiří Matoušek,Saunders Mac Lane,John L. Kelley,B. A. Dubrovin,Tom M. Apostol,John Stillwell,William Arveson +20 more
Book
Topological methods in algebraic geometry
TL;DR: In this paper, the Riemann-Roch theorem for algebraic manifolds and complex analytic vector bundles is presented. But the authors do not consider the complexity of complex analytic line bundles.
Journal ArticleDOI
Singularities of differentiable maps
TL;DR: In this article, the authors present a set of conditions générales d'utilisation of commercial or impression systématique, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.